estimate the value of 102.3 ÷ 4.7

Answer:

Step-by-step explanation:

6--6 = 12

4-1 = 3

12/3 = 4

y=4x

-6-4 = -10

y=4x-10

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The line passes through (1, -6) and (4, 6).

The formula of slope:

Slope = (d - b) / (c - a)

where (a, b) and (c, d) are the two points.

Now,

(1, -6) = (a, b) and (4, 6) = (c, d)

Slope = (6 + 6) / (4 - 1) = 12 / 3 = 4

m = 4

The equation of a line is given as y = mx + c.

(1, -6) = (x, y)

-6 = 4 x 1 + c

-6 = 4 + c

-6 - 4 = c

c = -10

Now,

The equation of the line that passes through (1, -6) and (4, 6) is

y = 4x - 10

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The given astroid is \(x - a \cos^3 \theta\) and \(y - a \sin^3 \theta\). The area of the region enclosed by the astroid can be found using integration.

The formula used for finding the area enclosed by a polar curve in between two given angles is as follows:

\(A = \frac{1}{2} \int_{\alpha}^{\beta} r^2 d\\)

theta where r is the polar equation of the curve and \alpha and \beta are the angles of intersection of the curve. So the given curve is

\(r(\theta) = a \sin \theta \cos \theta.\)

The astroid is traced out exactly once for

\(0 \le \theta \le \frac{\pi}{2}\)

four times for a full revolution of \(2\pi.\)

Therefore, the area of the region enclosed by the astroid is given by:

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By using Pythagoras Theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the other two legs i.e.,

\(a^{2}+ b^{2} =c^{2}\)                        …(1)

where c is the hypotenuse and a, b are the two legs of the right triangle.

The given sides of the triangle are 5 and \(\sqrt{2}\)

Let a = 5 and b = \(\sqrt{2}\)

Now, putting the values of a and b in equation (1), we get

= \(5^{2}+ (\sqrt{2} )^{2} =c^{2}\)

= \(25+2 =c^{2}\)    

= \(c^{2} = 27\)

= \(c=3\sqrt{3}\)

∴ The length of the Hypotenuse is \(3\sqrt{3}\) units.

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Answer: a = 9.3

Hope this helps you!

Answer:

4x≥=72

Step-by-step explanation:

1. Particularly, we have:

Given:

X: number of gift boxes

2. We then have to write the inequation that models the problem:

"Mary bought more than 72 pencils"

"She packs 4 pencils each into x gift boxes"

Finally we have:

4x≥=72, for the inequality that represent this situation.

When Simplfying (simplified form):

= x≥72/4

= x≥18

Answer:

4x > 72  

x > 18  

Step-by-step explanation:

Answer:

x=83

y=69

k=71

a=117

q=51

x=9

p=-42

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

8.71

Step-by-step explanation:

(-5.2)-(-6.01)+7

Subtracting a negative is like adding

(-5.2)+(6.01)+7

Subtract 5.2 from 6.01

.81+7

Add .61 to 7

7.81

The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

\(4x^{2} + 46x\)

Step-by-step explanation:

Step 1:  Distribute  

\((4x * x) + (4x * 9) + 10x\)

\(4x^{2} + 36x + 10x\)

Step 2:  Combine Like Terms

\(4x^{2} + 36x + 10x\)

\(4x^{2} + (36x + 10x)\)

\(4x^{2} + 46x\)

Answer:  \(4x^{2} + 46x\)

Answer:

A-$4,900

Step-by-step explanation:

Answer:

The answer is A. $4,900

Step-by-step explanation:

$196 in commissions  => a = 196

s = a / 0.04 = 196 / 0.04 = $4900 = Ann's sales

so the answer for Ann's sales is $4,900

After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

We are given an expression:

( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​

We need to perform division of the algebraic expression:

                                  5 x² - 7 x + 4

             3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17

                                   15 x⁴ + 5 x³ + 5 x²

                                   ______________________

                                             - 21 x³ + 5 x² + 8 x - 17

                                             - 21 x³ - 7 x² - 7 x

                                   ______________________

                                                       12 x²  + 15 x - 17

                                                       12 x²  + 4 x + 4

                                   ______________________

                                                                   11 x - 21

                                   ______________________

Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )​, we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.

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Answer:

If its -2x^2+17 the answer would be -183.

Step-by-step explanation:

-2(100)+17

-200+17

= -183

Answer:

Is this function inverse or symmetrical or what

Step-by-step explanation:

False, The eigenvalues of a matrix A are not same as the eigenvalues of the reduced row echelon form of A.

A matrix's eigenvalues are not the same as those of the matrix's reduced row echelon form, contrary to what is claimed.

This is due to the fact that when a matrix is reduced to its echelon form via row operations, its eigenvalues may not always stay the same. The eigenvalues of a matrix may be different in the reduced row echelon form than they are in the original matrix as a result.

Think about these matrices as an illustration:

Likewise, B's reduced row echelon form is B, and B's eigenvalues are both 1.

A = [1 2; 2 1]

and

B = [1 0; 0 1].

The eigenvalues of a matrix and its reduced row echelon form are thus typically not the same.

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FALSE. The eigenvalues of a matrix A are NOT the same as the eigenvalues of the reduced row echelon form of A.

Explanation:

Eigenvalues are scalar values that, when multiplied by an eigenvector, produce the same effect as the original matrix A on that eigenvector. Mathematically, for a matrix A and its eigenvector v, Av = λv, where λ is the eigenvalue.

Row echelon form is a matrix transformation using elementary row operations to obtain a triangular form. The reduced row echelon form (RREF) is a further simplified version of the row echelon form.

However, transforming a matrix A to its RREF changes the properties of the matrix, and therefore the eigenvalues of matrix A and its RREF are generally not the same. The eigenvalues are preserved only under specific matrix transformations, such as similarity transformations, which row echelon form is not one of them.

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Answer:

um... okie

Step-by-step explanation:

Answer:

C. 8.1 Inches

Step-by-step explanation:

Take 100 Ib. and multiply it by 0.9. You get 90 lb. Now referring to the fraction rule, do the same to the "denominator": 9 In. x 0.9, and you get 8.1 Inches.

Answer:

$160

Step-by-step explanation:

28 bags cost $140

4 bags will serve 5 guests

Number of bags that will serve 40 guests:

(40 /5) * 4bags

8 * 4 bags = 32 bags of candy

A bag of candy will cost :

$140 / 28 = $5

Cost of 32 bags :

Cost per bag * 32

$5 * 32 = $160

Answer:

71 degrees

Step-by-step explanation:

1. We know that the angle is unknown as demonstrated by '?'

2. The 17 side is opposite of the unknown angle

3. The 18 side the hypotenuse (not in contact with the right angle)

4. Therefore sine will be used where, sine(degree) = opposite/hypotenuse

5. The equation should be sine(degree) = 17/18

6. Since we don't know the degree we bring sine to the left and has a negative power of 1

7. The equation now becomes degree = sine^-1 (17/18)

8. The answer to this is 70.811... which equals 70 degrees and 48 minutes which rounds to the nearest degree of 71

Step-by-step explanation:

the average rate of change is

(h(interval end) - h(interval begin)) /

(interval end - interval begin)

in our case this is

(h(8) - h(-1)) / (8 - -1) = (108 - 9) / 9 = 99/9 = 11/1 = 11

(a) If the books can be arranged in any order, then there are 8 books in total, and each one can be placed in any of the 8 positions on the bookshelf. Therefore, the number of ways to arrange the books is:

8! = 40320

(b) If the mathematics books must be together and the novels must be together, then we can treat each group as a single "super-book" and arrange the three super-books in any order. Within each super-book, the books can be arranged in any order as well. Therefore, the number of ways to arrange the books is:

3! * 4! * 3! = 864

(c) If the novels must be together but the other books can be arranged in any order, then we can treat the four novels as a single "super-novel" and arrange the two super-books (the super-novel and the other three books) in any order. Within the super-novel, the novels can be arranged in any order as well. Therefore, the number of ways to arrange the books is:

2! * 4! = 48

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)

Answer:

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

From the info given by the problem we know that the Math Club had a car wash to raise money for a competition. The members charged $10 for each car they washed.

The dependent variable for this case is the amount of money charged and the independent variable would be the number of cars washed.

And the reason why is because the dependnet variable is the variable of interest (money earned) and the independent the variable that controls the amount of money earned

Step-by-step explanation:

for the (a) put 6 in for x in h(x)=x/3

which looks like this...

h(6)=6/3 so, h=2

not put 2 in for x in g(x)=√3

which would end up as...

g(x)=√3 since there is no x in the equation

now finally put √3 in for x in f(x)=x^3

so, f(√3)= √3^3

which is... f(x)= 3√3

[Answer] a= 3√3

Now you should be able to solve the other ones if you need help message below

Please rate and mark me the brainliest!! I hope this helps!!

Answer: d or a i think

Step-by-step explanation:

Answer:

free points

Step-by-step explanation:

hahahahahaha

The measure of the angles are: K, L, C, N, O G = -3/4, 65, 8 40.4, 89 and 44 respectively

To determine K

9x + 2 = 23 + 5x -1

9x -5x = -1 +2

4x = -3Making x the subject we have

x= -3/4

To find the value of L

Let angle L be x

x + 65 = 130

x=130-65

That is x = 65

To find the m<C

4x + 7 = 3x + 15

Collecting like terms

4x - 3x = 15-7

Making x the subject of the relation we have

x=8

To find the m<N

7x + 6x - 1 = 90

13x = 89

x=89/13

x= 6.9

Substitute x = 6.9 in 6x -1

6(6.9) -1

m<L = 40.4

To find the m<O

5x - 11 = 4x +9

5x-4x = 9 +11

x=20

By substitution in 4x +9 we have

4(20) +9

80+9

m<S = 89

To find the value of the angle G

6x - 4 = 5x +4

6x - 5x = 4+4

x = 8

Therefore the m<G is

5x +4

5(8) +4

40+4 = 44 digress

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Answer:

(1) one (2) two (3) zero (4) infinite

Step-by-step explanation:

Answer:

80 oz

Step-by-step explanation:

There are 16 ounces in a pound, so:

5 lbs (16 oz/1 lbs)

Multiply the 2 and you get 80 oz.

Answer: 80 ounces

Step-by-step explanation:

5 x 16 = 80

Step-by-step explanation:      

Step 1: Simplify the equation

7.22−4.9(5.1+3.1)

=51.84−4.9(5.1+3.1)

=51.84−(4.9)(8.2)

Step 2: Solve and subtract the numbers

=51.84−40.18

=11.66

Explanation in words:

- To solve this equation, the first step is to simplify the equation and at the end, the answer will result as = 51.84-(4.9)(8.2).

- To solve this equation, the second step is to solve that equation and break it down so we will have to subtract and at the end, the answer for this whole equation will result as = 11.66.

Answer:      

= 11.66

Hope this helps.

The two way table which would show the characteristics listed of the random sample, would be:

                                              Order dessert                 No dessert

Split the check                             50                                    18

One person pays                         16                                      38

The number of people who like to split the check for dessert is 50 so this goes into the first cell. 68 people in total prefer to split the check which means the second cell for Split the check - No dessert would be:

= 68 - 50

= 18 people

56 people decide to skip dessert totally which means the number for those who believe one person pays but with no dessert is:

= 56 - 18

= 38 people

The number who believe one person pays and order dessert are then :

= 122 - 68 - 38

= 16 people

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